Mastering Cumulative Frequency
Mathematics
GCSE Higher
11 questions
~22 mins
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About This Worksheet
A worksheet covering Cumulative Frequency for GCSE Higher students. It includes procedural questions to test understanding and reasoning problems to develop application skills, culminating in real-world challenges.
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Mastering Cumulative Frequency
Subject: MathematicsGrade: GCSE Higher
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Date:
Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A grouped frequency table shows the following data:
| Class Interval | Frequency |
|------------------|------------|
| 10 - 19 | 5 |
| 20 - 29 | 8 |
| 30 - 39 | 12 |
| 40 - 49 | 7 |
Calculate the cumulative frequency for each class interval.
[3 marks]2.
Using the cumulative frequency data: 5, 13, 25, 32, find the median class and median value.
[4 marks]3.
A cumulative frequency table is given below:
| Class Interval | Cumulative Frequency |
|------------------|------------------------|
| 0 - 10 | 4 |
| 10 - 20 | 12 |
| 20 - 30 | 20 |
| 30 - 40 | 25 |
Estimate the median using this data.
[4 marks]4.
The following cumulative frequency data is provided:
| Value | Cumulative Frequency |
|--------|------------------------|
| 15 | 5 |
| 25 | 12 |
| 35 | 20 |
| 45 | 25 |
Determine the 75th percentile value.
[4 marks]5.
Explain how to find the approximate median from a cumulative frequency table.
[2 marks]6.
A dataset has the following cumulative frequencies:
| Score | Cumulative Frequency |
|--------|------------------------|
| 50 | 3 |
| 60 | 8 |
| 70 | 15 |
| 80 | 20 |
Estimate the median score.
[4 marks]7.
A survey reports the following cumulative frequencies:
| Age | Cumulative Frequency |
|-----|------------------------|
| 18 | 4 |
| 25 | 10 |
| 35 | 18 |
| 50 | 24 |
What is the approximate 25th percentile age?
[4 marks]8.
A cumulative frequency table shows the following data:
| Class | Cumulative Frequency |
|--------|------------------------|
| 0–20 | 6 |
| 20–40 | 14 |
| 40–60 | 22 |
| 60–80 | 28 |
Identify the class interval corresponding to the 80th percentile.
[2 marks]9.
Use the cumulative frequency data below to estimate the interquartile range:
| Data Point | Cumulative Frequency |
|--------------|------------------------|
| 10 | 5 |
| 20 | 12 |
| 30 | 20 |
| 40 | 25 |
What is the interquartile range (IQR)?
[4 marks]10.
A company records the ages of employees and provides a cumulative frequency:
| Age | Cumulative Frequency |
|-----|------------------------|
| 25 | 3 |
| 35 | 8 |
| 45 | 15 |
| 55 | 20 |
Estimate the age corresponding to the 60th percentile.
[4 marks]11.
A real-world scenario: The cumulative frequency data for daily rainfall (mm) over a month is given below:
| Rainfall (mm) | Cumulative Days |
|----------------|-----------------|
| 10 | 4 |
| 20 | 10 |
| 30 | 18 |
| 40 | 22 |
Estimate the median daily rainfall.
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet